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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
∫
d
x
x
2
+
4
x
+
13
\int \frac{dx}{x^2 + 4x + 13}
∫
x
2
+
4
x
+
13
d
x
is equal to (a)
log
(
x
2
+
4
x
+
13
)
+
c
\log(x^2 + 4x + 13) + c
lo
g
(
x
2
+
4
x
+
13
)
+
c
(b)
1
3
tan
−
1
(
x
+
2
3
)
+
c
\frac{1}{3} \tan^{-1}\left(\frac{x+2}{3}\right) + c
3
1
tan
−
1
(
3
x
+
2
)
+
c
(c)
log
(
2
x
+
4
)
+
c
\log(2x+4) + c
lo
g
(
2
x
+
4
)
+
c
(d)
2
x
+
4
(
x
2
+
4
x
+
13
)
2
+
c
\frac{2x+4}{(x^2+4x+13)^2} + c
(
x
2
+
4
x
+
13
)
2
2
x
+
4
+
c
Related theory
Antiderivatives
Integration Techniques
Standard algebraic integrals
Integrals of additional types
Integrals
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